2x^2+22x+77=0

Solution for 2x^2+22x+77=0 equation:

Simplifying
2x2 + 22x + 77 = 0

Reorder the terms:
77 + 22x + 2x2 = 0

Solving
77 + 22x + 2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
38.5 + 11x + x2 = 0

Move the constant term to the right:

Add '-38.5' to each side of the equation.
38.5 + 11x + -38.5 + x2 = 0 + -38.5

Reorder the terms:
38.5 + -38.5 + 11x + x2 = 0 + -38.5

Combine like terms: 38.5 + -38.5 = 0.0
0.0 + 11x + x2 = 0 + -38.5
11x + x2 = 0 + -38.5

Combine like terms: 0 + -38.5 = -38.5
11x + x2 = -38.5

The x term is 11x.  Take half its coefficient (5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
11x + 30.25 + x2 = -38.5 + 30.25

Reorder the terms:
30.25 + 11x + x2 = -38.5 + 30.25

Combine like terms: -38.5 + 30.25 = -8.25
30.25 + 11x + x2 = -8.25

Factor a perfect square on the left side:
(x + 5.5)(x + 5.5) = -8.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.